Analysis And Control For Event-triggered Networked Markov Jump System

With the rapid development of computer science field and network control filed, the network control systems are becoming increasingly important in industrial processes. However, there are some problems in the network, such as time-delay, packet loss and so on, the most important problem is the waste of the limited network bandwidth resources. The time-triggered communication scheme leads to inefficient utilization of limited network resources, in order to mitigate the unnecessary waste of limited network resources, researchers propose the event-triggered scheme, which guaranteed that the minimum inter-event time of the sampling interval of the event-triggering condition. Most of the results focus on continuous systems, few paper solve the discrete-time systems. On other hand, Markov jump systems have great practical potential in many fields.According to the above analysis, this thesis will use the Markov jump system and event-triggered scheme to investigate event-triggered guaranteed cost control, discrete-time H_∞ control problem and discrete-time H_∞ filter problem. Here are the main objectives:(1) Considering the uncertain networked Markov jump system, the event-triggered guaranteed control problem is investigated. Different from the traditional time-triggered scheme based on fixed sampling period, a discrete event-triggered scheme is given to choose whether the sampled data should be transmitted or not. Based on time-delay system method, an algorithm is derived to co-design the event-triggered condition and guaranteed cost controller.(2) According to the discrete-time Markov jump system, the event-triggered H_∞ control problem is investigated. Considering the effect of the network induced delay on the performance of the system. By using the Jenson inequalities, linear matrix inequalities(LMI), Lyapunov-Krasovskii functional approach and analyze the stability of the system. Then we get the design method of H_∞ controller.(3) The problem of the event-triggered H_∞ filtering for discrete-time Markov jump system is investigated. The discrete-time control system is modeled as a Markov jump system and a discrete event-triggered communication scheme is proposed to mitigate the utility of limited network bandwidth, construct the new Lyapunov-Krasovskii functional and design the method of corresponding H_∞ filter.